L’Hopitals Rule task card activity gives students practice using L’Hopital’s rule (also known as L'Hospital's Rule) to solve limits of the form 0/0 or infinity/infinity. This activity comes in mulitple layout options. My favorite layout asks students to justify and explain WHY the conditions for L’Hopital’s Rule are meant before applying it. Not all these task cards can be solved using L’Hopitals Rule so students are also getting practice determining when L’Hopital’s Rule can and cannot be applied.

L’Hopitals Rule activity has 16 task cards. The first 12 task cards use a combination of polynomials, radical functions, sine, cosine, tangent, exponential, logarithmic and arctangent functions. Task cards #13 – 16 use the graph of a piecewise linear function along with polynomials. These questions will give students practice finding the derivative from a graph in addition to applying L’Hopital’s Rule.

All problems are intended to be completed without using a calculator.

Topics Include:

• Evaluating limits using L’Hopital’s Rule
• Indeterminate forms of 0/0 and infinity over infinity
• Determining when to use L’Hopital Rule by justifying WHY the conditions for L’Hopital’s rule are satisfied
• Finding the derivative from a piecewise linear function

Functions Included:

• Polynomials and Radical Functions
• Trig Functions – Sine, Cosine, and Tangent
• Exponential and Logarithmic Functions
• Arctangent

This product contains 16 task cards in four different layouts.

Layout #1 – color option with justifications

Layout #2 – color option with no justifications

Layout #3 – printer friendly black & white option with justifications

Layout #4 – printer friendly black & white option with no justifications

This product includes a student response sheet, answer key, and complete solution key.

You may also like:

• Related Rates Calculus Review
• Derivatives Particle Motion Scavenger Hunt
• Calculus Applications of Derivatives Scavenger Hunt

Terms of Use:

This product should only be used by the teacher who purchased it. This product is not to be shared with other teachers. Please buy the correct number of licenses if this is to be used by more than one teacher. A complete terms of use is included in the product.

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If you have any questions please contact me by email at calculusandchai@gmail.com

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Kelly Blakeman